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Write the negation of the following statement.(i) if I become a doctor, then I will open hospital.(ii) If 2 + 3 = 5, then is an odd number. |
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Answer» (i) if I become a doctor, then I will open hospital. p : I become a doctor. q : I will open a hospital. ~(p ⇒ q) ≡ will open hospital ∴ The negation of the statement is- ‘I will become a doctor and I will not open a hospital. (ii) If 2 + 3 = 5, then is an odd number. p : 2 + 3 = 5 q : 5 is an odd number ~(p ⇒ q) ≡ p ∩ ~ q ∴ The negation of the statement is- “2 + 3 = 5 and 5 is an even number. |
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